CHECK IF THE TABLE REPRESENTS DISCRETE OR CONTINUOUS

Graph the function. Is the domain of the graph discrete or continuous.

Problem 1 :

Solution :

Domain = Number of bags

Range = Number of marble.

The value of x must be only distinct values each values will have clear spaces between them.

More simply, only integer values are possible for number of bags. So, it is discrete.

Problem 2 :

Solution :

Input is width (in inches). It is continuous.

Problem 3 :

Solution :

Domain = Input = Number of hats.

Number of hat would be integer,

no hats (n = 0)

1 hat (n = 1)

2 hats (n = 2)

There is no 1.5 hats. So, it is discrete.

Problem 4 :

Solution :

Number of years may be decimal. For example, 1.5 years means 1 year and 6 months. So, it is continuous.

Problem 5 :

A cereal bar contains 130 calories. The number c of calories consumed is a function of the number b of bars eaten. Graph the function. Is the domain of the graph discrete or continuous?

Solution :

Plot the ordered pairs. Because you can eat part of a cereal bar, b can be any value greater than or equal to 0. Draw a line through the points. So, the domain is continuous